22072960 has 128 divisors (see below), whose sum is σ = 65116800. Its totient is φ = 6967296.

The previous prime is 22072957. The next prime is 22072969. The reversal of 22072960 is 6927022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22072969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58051 + ... + 58429.

It is an arithmetic number, because the mean of its divisors is an integer number (508725).

Almost surely, 2^22072960 is an apocalyptic number.

22072960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32558400).

22072960 is an abundant number, since it is smaller than the sum of its proper divisors (43043840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22072960 is a wasteful number, since it uses less digits than its factorization.

22072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 22072960 is about 4698.1868843204. The cubic root of 22072960 is about 280.5133439889.

Adding to 22072960 its reverse (6927022), we get a palindrome (28999982).

It can be divided in two parts, 22072 and 960, that added together give a palindrome (23032).

The spelling of 22072960 in words is "twenty-two million, seventy-two thousand, nine hundred sixty".